问题标题:
【(1-0.25)乘[1-(1/9)]乘[1-(1/16)乘[1-(1/25)].乘[1-(1/2005*2)]等于多少?】
问题描述:

(1-0.25)乘[1-(1/9)]乘[1-(1/16)乘[1-(1/25)].乘[1-(1/2005*2)]等于多少?

路华回答:
  (1-0.25)乘[1-(1/9)]乘[1-(1/16)乘[1-(1/25)].乘[1-(1/2005²)]   =(1-1/4)*(1-1/9)(1-1/16)(1-1/25)*.(1-1/2005²)   =(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)*.*(1-1/2005)(1+1/2005)   =1/2*3/2*2/3*4/3*3/4*4/5*5/4*.*2005/2004*2004/2005*2006/2005   =1/2*2006/2005   =1003/2005
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